Where,
I0 =maximum at resonance
At resonance, we have
Where,
ωR = Resonanceangular frequency
∴Resonantfrequency,
And, maximum current
(b) Maximumaverage power absorbed by the circuit is given as:
Hence, resonant frequency () is
(c) Thepower transferred to the circuit is half the power at resonant frequency.
Frequenciesat which power transferred is half, =
Where,
Hence, change in frequency,
∴
And
Hence, at 648.22 Hz and 678.74 Hzfrequencies, the power transferred is half.
At these frequencies, currentamplitude can be given as:
(d) Q-factorof the given circuit can be obtained using the relation,
Hence, the Q-factor of the givencircuit is 21.74.